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ESTIMATING THE DOMAIN OF ATTRACTION VIA MOMENT MATRICES
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 Title & Authors
ESTIMATING THE DOMAIN OF ATTRACTION VIA MOMENT MATRICES
Li, Chunji; Ryoo, Cheon-Seoung; Li, Ning; Cao, Lili;
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 Abstract
The domain of attraction of a nonlinear differential equations is the region of initial points of solution tending to the equilibrium points of the systems as the time going. Determining the domain of attraction is one of the most important problems to investigate nonlinear dynamical systems. In this article, we first present two algorithms to determine the domain of attraction by using the moment matrices. In addition, as an application we consider a class of SIRS infection model and discuss asymptotical stability by Lyapunov method, and also estimate the domain of attraction by using the algorithms.
 Keywords
domain of attraction;moment matrices;Lyapunov function;SIRS model;
 Language
English
 Cited by
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THE DOMAIN OF ATTRACTION FOR A SEIR EPIDEMIC MODEL BASED ON SUM OF SQUARE OPTIMIZATION,;;;;

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Enlarging the guaranteed region of attraction in nonlinear systems with bounded parametric uncertainty, Journal of Zhejiang University SCIENCE C, 2013, 14, 3, 214  crossref(new windwow)
2.
Domain of Attraction Estimation for SIRS Epidemic Models via Sum-of-Square Optimization⋆, IFAC Proceedings Volumes, 2011, 44, 1, 14289  crossref(new windwow)
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Stability analysis and estimation of domain of attraction for the endemic equilibrium of an SEIQ epidemic model, Nonlinear Dynamics, 2017, 87, 2, 975  crossref(new windwow)
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THE DOMAIN OF ATTRACTION FOR A SEIR EPIDEMIC MODEL BASED ON SUM OF SQUARE OPTIMIZATION, Bulletin of the Korean Mathematical Society, 2012, 49, 3, 517  crossref(new windwow)
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